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Finding the Fourth Proportional to 505.66, 758.57 and 180.96

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Solution

The fourth proportional to 505.66, 758.57 and 180.96 is: 271.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.66 : 758.57 = 180.96 : x
  2. Step 2: Convert to fraction form
    505.66/758.57 = 180.96/x
  3. Step 3: Cross multiply
    505.66x = 758.57 × 180.96
  4. Step 4: Simplify right side
    505.66x = 137,270.83
  5. Step 5: Solve for x
    x = 137,270.83/505.66
  6. Step 6: Final answer
    x = 271.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.